The identity equation is; 5x³(2x² - 7)
This question will be solved with the concept of factorization which involves simplifying an algebraic equation by collecting like terms and putting it in front of a bracket with the remaining terms inside that same bracket.
The algebraic equation we are working with is;
10x⁵ - 35x³
To solve this, we will list out the factors of 10 and 35 and pick the highest common factor.
factors of 10; 1, 2, 5, 10
Factors of 35; 1, 5, 7, 35
Highest common factor is 5
Also, for the x symbol, the highest common factor is xᵃ.
Thus the factor we are bringing to the front of the bracket is 5x³
To get what will remain in the bracket, we will just divide the original terms by 5x; [tex]\frac{10x^{5} }{5x^{3}} - \frac{35x^{3}}{5x^{3}}[/tex]
This gives; 2x² - 7
Thus, The identity equation is; 5x³(2x² - 7)
Read more at; brainly.in/question/7856382
